Random Approximants and Neural Networks

Approximation by superpositions of a sigmoidal function

George Cybenko · Mathematics of Control Signals and Systems · 1989 · 13.7K citations

Computing, Computer Science, Machine Learning +5

Universal approximation bounds for superpositions of a sigmoidal function

Andrew R. Barron · IEEE Transactions on Information Theory · 1993 · 2.8K citations

Computing, Computer Science, Mathematics +13

A Simple Lemma on Greedy Approximation in Hilbert Space and Convergence Rates for Projection Pursuit Regression and Neural Network Training

Lee Jones · The Annals of Statistics · 1992 · 479 citations · Full text

Computing, Computer Science, Algorithms +16

Metric entropy and approximation

G. G. Lorentz · Bulletin of the American Mathematical Society · 1966 · 176 citations · Full text

Natural Sciences, Mathematics, Physics +11

Constructive approximations for neural networks by sigmoidal functions

Lee Jones · Proceedings of the IEEE · 1990 · 149 citations

Computing, Computer Science, Mathematics +14